4965080 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1828224.

The previous prime is 4965049. The next prime is 4965083. The reversal of 4965080 is 805694.

4965080 = T₆ + T₇ + ... + T₃₀₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35651 + ... + 35789.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^4965080 is an apocalyptic number.

4965080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4965080 is an abundant number, since it is smaller than the sum of its proper divisors (7130920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4965080 is a wasteful number, since it uses less digits than its factorization.

4965080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 4965080 is about 2228.2459469278. The cubic root of 4965080 is about 170.5985819189.

The spelling of 4965080 in words is "four million, nine hundred sixty-five thousand, eighty".